Torque distribution apparatus, torque distribution method, torque distribution value generation method, and program

ABSTRACT

A torque distribution apparatus acquires an instructed torque input and a motor efficiency map for motors; detects vehicular speed and drive wheel rotational speed; calculates based on the detected speeds, a relational expression of drive wheel slip rate and a friction coefficient; creates based on the relational expression, a performance curve expression indicating relations between torque and the drive wheel rotational speed, superimposes the performance curve expression on the motor efficiency map, creates an efficiency variation expression indicating for each vehicular speed, the torque and efficiency values of the motor efficiency map, and calculates a torque that optimizes efficiency from the efficiency variation expression; calculates based on the instructed torque and the torque optimizing efficiency, a torque distribution value for each motor; and controls torque distribution to each motor, within a range of the slip rate being 0 to 0.2 and based on the torque distribution values.

TECHNICAL FIELD

The present invention relates to a torque distribution apparatus, a torque distribution method, a torque distribution value generation method, and a program that distribute torque when multiple drive wheels of a vehicle are driven. Nonetheless, use of the present invention is not limited to the torque distribution apparatus, the torque distribution method, the torque distribution value generation method, and the program.

BACKGROUND ART

Conventionally, electric vehicles (EV), which are mobile objects, are equipped with multiple motors, and as a means of distributing torque that drives the drive wheels (wheels), the following technologies have been disclosed.

A first technology distributes torque by calculating power consumption with respect to combinations of motor torque and by obtaining a graph that plots driving force distribution along the horizontal axis. In this configuration, magnitude relations of the power Pout [kW] that can be output and the smallest value of power consumption (hereinafter, lowest power consumption) when a motor torque combination realizing a transient, required driving force that is within a torque restriction is realized are compared. If the power Pout [kW] that can be output is judged to be greater than or equal to the lowest power consumption, the motor torque of the front-rear wheels that minimizes the power consumption is regarded to be the instructed torque as is (see, for example, Patent Document 1).

A second technology distributes total torque to multiple motors such that torque is distributed equally to the 2 front drive wheels and torque is distributed equally to the 2 rear drive wheels, by generating and using a system efficiency map indicating the torque distribution ratio that maximizes system efficiency (see, for example, Patent Document 2).

A third technology retrieves based on the required driving power and vehicle speed, a map indicating relations among fuel consumption, discharged and charged power of the electrical storage device, and front-rear wheel driving force distribution. From the extracted map, the driving force distribution that minimizes fuel consumption with respect to the discharged and charged power of the electrical storage device is extracted, whereby driving force distribution maps before and after improved fuel efficiency are obtained (see, for example, Patent Document 3).

In a fourth technology, based on vehicle speed and the required motor driving torque that corresponds to the required motor driving force and further based on the torque of each motor generator and efficiency characteristics corresponding to vehicle speed, a driving force distribution determining unit determines the distribution of driving torque among the motor generators. The driving torque distribution in a low output area and the driving torque distribution in a high output area are controlled using different patterns, and that which maximizes the efficiency of the motor generators overall is adopted (see, for example, Patent Document 4).

A fifth technology determines based on the total driving torque required of the left and the right front wheels and the rotational speed of the motor generators, the driving torque distribution between the left-front wheel and the right-front wheel such that the driving efficiency of the motor generators overall is maximized. The fifth technology further determines the driving torque distribution between the right-front wheel and left-front wheel such that only one of the motor generators is driven, according to the turning direction (see, for example, Patent Document 5).

A sixth technology enables selection between wheel torque distribution control that is based on energy efficiency (control of energy efficiency) and wheel torque distribution control that is based on the distribution of load at each wheel (control of load distribution) (see, for example, Patent Document 6).

Such control that uses the required torque and energy efficiency as parameters to make the energy efficiency relatively high when driving the front and the rear wheels of 4-wheel drive vehicles by an electric motor, is a known technique, as disclosed in, for example, Patent Document 2. Further, distribution ratios of load at the front wheels and at the rear wheels, for example, are obtained from the height of the center of mass of the 4-wheel drive vehicle, the distance from the center of mass to the front wheel, the distance between the front wheel axel and the rear wheel axel (wheel base), the width of the left and right tires (tread), the angular acceleration (horizontal acceleration) of the vehicle, acceleration of the vehicle in forward and backward directions, etc. and distribution ratios of load at the front wheels and at the rear wheels are caused to coincide with the distribution of load between the front wheels and the rear wheel, whereby the distribution of torque at the front wheels and the rear wheels is determined. Control that uses these parameters to obtain load distribution ratios for the front wheels and the rear wheels and that determines torque distribution ratios according to the load distribution ratios is a known technology as exemplified by, for example, Patent Document 7.

-   Patent Document 1: Japanese Laid-Open Patent Publication No.     2006-180657 -   Patent Document 2: Japanese Laid-Open Patent Publication No.     2006-345677 -   Patent Document 3: Japanese Laid-Open Patent Publication No.     2007-37217 -   Patent Document 4: Japanese Laid-Open Patent Publication No.     2007-313982 -   Patent Document 5: Published Japanese-Translation of PCT     Application, Publication No. 2007/064025 -   Patent Document 6: Japanese Laid-Open Patent Publication No.     2009-159682 -   Patent Document 7: Japanese Laid-Open Patent Publication No.     2006-213130

DISCLOSURE OF INVENTION Problem to be Solved by the Invention

Nonetheless, the technologies described in Patent Documents 1 to 7 are of a technological thought of distributing motor torque with an aim to increase motor efficiency and do not make use a motor efficiency map and distribute torque based on a torque value that is on the motor efficiency map and optimizes efficiency.

Further, with the technologies described in Patent Documents 1 to 3, each performs distribution with respect to the drive wheels in pairs, i.e., the 2 front wheels and the 2 rear wheels, and do not consider independent control of each drive wheel. The technology described in Patent Document 4 is applied to a hybrid vehicle and is applicable to only the in-wheel motors of the left and right rear wheel, which are independent. The technology does not consider independent control of each drive wheel. With such technologies, for example, independent control of 4 drive wheels is not possible and optical torque distribution with respect to multiple drive wheels cannot be performed.

Moreover, none of the technologies described in Patent Documents 1 to 7 give consideration to drive wheel (wheel) slippage and consequently, provide insufficient torque distribution that cannot achieve high efficiency. The state of slippage of drive wheels with respect to the road surface varies consequent to factors such as vehicular speed and more specifically to the rotational speed of the drive wheels, etc. Thus, without taking the state of drive wheel slippage into consideration, the efficiency obtained by distributing torque to each of the drive wheels cannot be improved and optimal torque distribution cannot be performed when the drive wheels are actually driven. Consequently, the efficiency of the drive system overall cannot be optimized to the fullest extent.

Means for Solving Problem

To solve the problems above and achieve an object, a torque distribution apparatus according to the present invention distributes an input instructed torque to motors connected to drive wheels, and includes an instructed torque acquiring unit that acquires the instructed torque input; an efficiency map acquiring unit that acquires a motor efficiency map that corresponds to the motors; a vehicular speed detecting unit that detects vehicular speed of a vehicle equipped with the motors; a drive wheel rotational speed detecting unit that detects drive wheel rotational speed of the drive wheels; a slip rate calculating unit that based on the vehicular speed and the drive wheel rotational speed, calculates slip rate at the drive wheels; a calculating unit that based on the slip rate, creates an efficiency variation expression that indicates efficiency values on a performance curve that indicates relations between the drive wheel rotational speed and torque, and calculates a torque that optimizes efficiency from the efficiency variation expression on the performance curve; a distributing unit that based on the instructed torque and the torque optimizing efficiency, calculates a torque distribution value for each of the motors; and a control unit that based on the calculated torque distribution values, controls torque distribution to each of the motors.

Further according to the invention, a torque distribution method of distributing by a torque distribution apparatus, an input instructed torque to motors connected to drive wheels, includes acquiring the instructed torque input; acquiring a motor efficiency map that corresponds to the motors; detecting vehicular speed of a vehicle equipped with the motors; detecting drive wheel rotational speed of the drive wheels; calculating based on the vehicular speed and the drive wheel rotational speed, slip rate at the drive wheels; creating based on the slip rate, an efficiency variation expression that indicates efficiency values on a performance curve that indicates relations between the drive wheel rotational speed and torque, and calculating a torque that optimizes efficiency from the efficiency variation expression on the performance curve; calculating based on the instructed torque and the torque optimizing efficiency, a torque distribution value for each of the motors; and controlling based on the calculated torque distribution values, torque distribution to each of the motors.

Further according to the invention, a torque distribution value generation method of generating for each motor connected to a drive wheel and by a torque distribution value generating apparatus, a torque distribution value for distributing an input instructed torque, includes acquiring the instructed torque input; acquiring a motor efficiency map that corresponds to the motors; detecting vehicular speed of a vehicle equipped with the motors; detecting drive wheel rotational speed of the drive wheels; calculating based on the vehicular speed and the drive wheel rotational speed, slip rate at the drive wheels; creating based on the slip rate, an efficiency variation expression that indicates efficiency values on a performance curve that indicates relations between the drive wheel rotational speed and torque, and calculating a torque that optimizes efficiency from the efficiency variation expression on the performance curve; and obtaining based on the instructed torque and the torque that optimizes efficiency, each torque distribution value corresponding to the instructed torque and wheel speed.

Further according to the invention, a program causes a computer to execute any one among the methods of claim 7 or 8.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 is a block diagram of a functional configuration of a torque distribution apparatus according to an embodiment;

FIG. 2 is a flowchart of a procedure of a torque distribution process performed by the torque distribution apparatus;

FIG. 3 is a diagram depicting a configuration of a vehicle;

FIG. 4 is a block diagram of a hardware configuration of the torque distribution apparatus;

FIG. 5 is a diagram of an example of a motor efficiency map;

FIG. 6 is a diagram depicting relations between slip rate and friction coefficients;

FIG. 7 is a diagram depicting relations between rotational speed and torque, taking the slip rate into consideration;

FIG. 8 is a diagram depicting a change curve depicted in FIG. 7 superimposed on a motor efficiency map;

FIG. 9A is a diagram depicting relations between torque and efficiency that change according to vehicular speed (part 1);

FIG. 9B is a diagram depicting relations between torque and efficiency that change according to vehicular speed (part 2);

FIG. 10 is a diagram of relations between torque and efficiency;

FIG. 11A is a diagram depicting torque-efficiency characteristics specific to a motor (part 1);

FIG. 11B is a diagram depicting torque-efficiency characteristics specific to a motor (part 2);

FIG. 11C is a diagram depicting torque-efficiency characteristics specific to a motor (part 3);

FIG. 12A is a diagram depicting characteristics of a wheel, among torque-efficiency characteristics of an inversed U-type (part 1);

FIG. 12B is a diagram depicting characteristics of a wheel, among torque-efficiency characteristics of the inversed U-type (part 2);

FIG. 12C is a diagram depicting characteristics of a wheel, among torque-efficiency characteristics of the inversed U-type (part 3);

FIG. 12D is a diagram depicting characteristics of a wheel, among torque-efficiency characteristics of the inversed U-type (part 4);

FIG. 12E is a diagram depicting characteristics of a wheel, among torque-efficiency characteristics of the inversed U-type (part 5);

FIG. 12F is a diagram depicting characteristics of a wheel, among torque-efficiency characteristics of the inversed U-type (part 6);

FIG. 13A is a diagram depicting characteristics of a wheel, among torque-efficiency characteristics of a Δ-type (part 1);

FIG. 13B is a diagram depicting characteristics of a wheel, among the torque-efficiency characteristics of the Δ-type (part 2);

FIG. 13C is a diagram depicting characteristics of a wheel, among the torque-efficiency characteristics of the Δ-type (part 3);

FIG. 13D is a diagram depicting characteristics of a wheel, among the torque-efficiency characteristics of the Δ-type (part 4);

FIG. 13E is a diagram depicting characteristics of a wheel, among the torque-efficiency characteristics of the Δ-type (part 5);

FIG. 13F is a diagram depicting characteristics of a wheel, among the torque-efficiency characteristics of the Δ-type (part 6);

FIG. 14A is a diagram of characteristics of a wheel, among torque-efficiency characteristics of a peak-type (part 1);

FIG. 14B is a diagram of the characteristics of a wheel, among the torque-efficiency characteristics of the peak-type (part 2);

FIG. 14C is a diagram of the characteristics of a wheel, among the torque-efficiency characteristics of the peak-type (part 3);

FIG. 14D is a diagram of the characteristics of a wheel, among the torque-efficiency characteristics of the peak-type (part 4);

FIG. 14E is a diagram of the characteristics of a wheel, among the torque-efficiency characteristics of the peak-type (part 5);

FIG. 14F is a diagram of the characteristics of a wheel, among the torque-efficiency characteristics of the peak-type (part 6);

FIG. 15A is a diagram for describing torque distribution in a case of 4 drive wheels (part 1);

FIG. 15B is a diagram for describing torque distribution in the case of 4 drive wheels (part 2);

FIG. 15C is a diagram for describing torque distribution in the case of 4 drive wheels (part 3);

FIG. 15D is a diagram for describing torque distribution in the case of 4 drive wheels (part 4);

FIG. 15E is a diagram for describing torque distribution in the case of 4 drive wheels (part 5);

FIG. 16A is a diagram for explaining variation differences among torque-efficiency characteristics;

FIG. 16B is a diagram for explaining deviation from the torque that optimizes efficiency in torque-efficiency characteristics;

FIG. 17 is a diagram for explaining dynamic torque distribution according to travel pattern;

FIG. 18 is a graph depicting optimal drive wheel count data set based on the rotational speed-instructed torque;

FIG. 19 is a diagram for explaining overall efficiency;

FIG. 20 is a diagram depicting a torque-propulsion efficiency relation when the normal force is constant;

FIG. 21 is a diagram depicting states in which the normal force differs according to drive wheel;

FIG. 22 is a graph depicting torque-propulsion efficiency according to normal force;

FIG. 23 is a diagram for explaining overall efficiency of the entire vehicle;

FIG. 24 is a block diagram depicting a functional configuration of the torque distribution apparatus according to the second example;

FIG. 25A is a diagram depicting a calculation example of overall efficiency (part 1); and

FIG. 25B is a diagram depicting a calculation example of overall efficiency (part 2).

BEST MODE(S) FOR CARRYING OUT THE INVENTION

Preferred embodiments of a torque distribution apparatus, a torque distribution method, a torque distribution value generation method, and a program according to the present invention will be described in detail with reference to the accompanying drawings. Hereinafter, description will be given using “rotational speed” as the “rotational speed of a drive wheel”.

Embodiment (Configuration of Torque Distribution Apparatus)

FIG. 1 is a block diagram of a functional configuration of the torque distribution apparatus according to the embodiment. A torque distribution apparatus 100 according to the embodiment uses a motor efficiency map and on the motor efficiency map, the torque optimizing efficiency is used to control torque distribution among multiple drive wheels.

The torque distribution apparatus 100 includes an instructed torque acquiring unit 101, a vehicular speed detecting unit 102 a, a drive wheel speed detecting unit 102 b, a slip rate calculating unit 103, a motor efficiency map 104, an efficiency map acquiring unit 105, a calculating unit 106, a distributing unit 107, and a control unit 108.

The instructed torque acquiring unit 101 acquires an instructed torque for driving a vehicle. In other words, the instructed torque acquiring unit 101 acquires the instructed torque input for driving n motors M (M1, M2, . . . Mn) respectively disposed in each drive wheel. In the present embodiment, description is given assuming that the same type of motor is used for each of the motors M.

The vehicular speed detecting unit 102 a detects the speed of the vehicle. The drive wheel speed detecting unit 102 b detects the speed of the drive wheels equipped on the vehicle. The drive wheel speed v_(w) is calculated by the tire radius r×the drive wheel rotational speed ω (v_(w)=r×ω).

The slip rate calculating unit 103, as described hereinafter, calculates the slip rate at each drive wheel, based on the vehicle speed detected by the vehicular speed detecting unit 102 a and the drive wheel speed (the drive wheel rotational speed and the tire diameter) detected by the drive wheel speed detecting unit 102 b. The motor efficiency map 104, as described hereinafter with reference to FIG. 5, is a map depicting relations between speed and torque for each motor M; and on this map, based on torque and speed, a substantially linear performance curve can be drawn. The efficiency map acquiring unit 105 acquires the motor efficiency map 104 that corresponds to the motor M.

As a means of acquiring the motor efficiency maps, 1. motor efficiency maps prepared in advance by the manufacturer of the motor or of the vehicle are retained in memory; 2. motor efficiency maps are created during travel of the vehicle, etc. may be considered.

The calculating unit 106 creates based on the slip rate calculated by the slip rate calculating unit 103, an efficiency variation expression that indicates an efficiency value on a performance curve indicating relations between rotational speed and torque; and calculates a torque that optimizes efficiency in the efficiency variation expression on the performance curve.

The distributing unit 107, as described hereinafter, calculates torque distribution value for each motor M, based on the instructed torque acquired by the instructed torque acquiring unit 101 and the torque optimizing efficiency calculated by the calculating unit 106. The control unit 108 controls the torque distributed to each of the motors M based on the torque distribution values calculated by the distributing unit 107.

(Torque Distribution Process)

FIG. 2 is a flowchart of a procedure of a torque distribution process performed by the torque distribution apparatus. The instructed torque acquiring unit 101 acquires an instructed torque T that is input from the accelerator pedal and are for driving each of the motors M (M1, M2, . . . Mn) disposed in the drive wheels (step S201). The vehicular speed detecting unit 102 a detects the vehicular speed of the vehicle (step S202), and the drive wheel speed detecting unit 102 b detects the wheel speed at the drive wheels (step S203). The slip rate calculating unit 103 calculates the slip rate at each drive wheel, using the vehicular speed and the drive wheel speed (drive wheel rotational speed and tire diameter) (step S204).

The efficiency map acquiring unit 105 acquires the motor efficiency map 104 corresponding to the motor M (step S205). The calculating unit 106 creates based on the wheel speed detected by the drive wheel speed detecting unit 102 b and the slip rate calculated by the slip rate calculating unit 103, an efficiency variation expression that indicates an efficiency value on a performance curve indicating relations between the rotational speed and torque; and calculates a torque that optimizes efficiency To in the efficiency variation expression on the performance curve (step S206). The distributing unit 107 calculates a torque distribution value for each motor M, based on the instructed torque T acquired by the instructed torque acquiring unit 101 and the torque that optimizes efficiency To calculated by the calculating unit 106 (step S207). The control unit 108 controls the distribution of torque to each of the motors M, based on the torque distribution values calculated by the distributing unit 107 (step S208).

Although in general, the performance curve on the motor efficiency map is linear, in actuality, if torque distribution changes, drive wheel torque varies and according to the drive wheel torque variation, the rotational speed of the drive wheel varies. Therefore, under the condition that the vehicular speed remains constant, the performance curve on the motor efficiency map is not a straight line, but rather a slope (strictly speaking, a curve) as described hereinafter with reference to FIG. 5. Efficiency values for the torque values on the performance curve can be represented as torque-efficiency characteristics. Since the torque-efficiency characteristics are curves as described hereinafter with reference to FIG. 10, the torque by which the efficiency is maximized appears. This torque is called the torque that optimizes efficiency To. Taking the torque that optimizes efficiency To as a standard, all of the instructed torque T is distributed to the n motors M by a given torque distribution.

An example of the distribution of torque to the n motors M by the distributing unit 107 will be described. The distributing unit 107 distributes all of the torque that optimizes efficiency To to only a portion of the motors M among the n motors, or to all of the motors M, or equally distributes the instructed torque T such that the torque distribution values of a portion of the motors M maximally approach the torque that optimizes efficiency To.

Here, the efficiency variation expression indicating efficiency values on the performance curve that indicates relations between wheel speed and slip rate as well as between rotational speed and torque is obtained by the following procedure.

1. Detect current vehicular speed 2. Detect current drive wheel speed 3. Calculate slip rate 4. Detect current torque from motor driving current 5. Calculate performance curve expression (using expression (8) described hereinafter) 6. Draw performance curve on efficiency map, along performance curve, acquire multiple points of combinations of torque value and efficiency value 7. Create efficiency variation expression from multiple points of torque value and efficiency value Here, the greater the number of points, the greater the accuracy of the approximation expression of the efficiency variation expression is.

A torque Td is μ·N·r (μ: friction coefficient of road surface and tier; N: normal force; r: tire radius) (expression (5) described hereinafter) and therefore, if the torque Td changes, the friction coefficient μ varies. If the friction coefficient μ varies, a slip rate λ varies (depicted in FIG. 6). If acceleration and deceleration are not great, variation of a rotational speed v is small and therefore, if the slip rate λ varies, the rotational speed ω varies. In other words, according to the torque value given to a drive wheel, the rotational speed of the drive wheel varies. This relation is described hereinafter with reference to expression (8) and FIG. 7. To use expression (8), the relation between slip rate and friction coefficient (described hereinafter with reference to expression (6)) is used. Concerning this relation, expression (6) for the traveled road surface is acquired from a server that is outside the vehicle, or is created by the vehicle.

Equation (6) for the relation between slip rate and friction coefficient is created by the vehicle according to the following procedure.

1. Detect current vehicular speed and drive wheel rotational speed, and obtain slip rate λ 2. Obtain torque value from current motor driving current, and calculate μ value from Td=μ·N·r 3. Obtain multiple points for λ and μ values during travel, create μ-λ characteristics of FIG. 6, and generate expression (6). The torque value is obtained by multiplying a preliminarily known torque constant by the driving current. Further, in this case, since travel normally occurs without idle rotation of the tires, a λ value and a μ value (in FIG. 6, λ is 0.2 or less) that are within a range that does not exceed a peak portion of μ can be detected. Although a point in a range that does not exceed the peak portion of μ (in FIG. 6, λ is 0.2 or greater) cannot be detected, in the present invention, a required area is a range that does not exceed the peak portion of μ and therefore, if μ-λ characteristics of the area are created and expression (6) is generated, no problem arises.

The torque distribution apparatus 100 according to the embodiment described above takes into consideration the calculated slip rate when calculating the torque that optimizes efficiency To on the motor efficiency map 104. Although the state of drive wheel slippage with respect to the road surface varies consequent to factors such as vehicular speed and more specifically to the rotational speed of drive wheels, etc., by taking the state of slippage of the drive wheels into consideration, the efficiency obtained by distributing torque to each of the drive wheels can be improved; optimal torque distribution can be performed when the drive wheels are actually driven; and since the motors can be driven in an area where the motor efficiency is high, the efficiency of the drive system overall can be optimized to the fullest extent. This drive system points to a configuration related to vehicle driving by a motor and inverter.

EXAMPLE First Example

A first example of according to the present invention will be described. In the first example, an example of application of the torque distribution apparatus in a vehicle equipped with in-wheel motors that are built into 4 drive wheels respectively and independently drive the drive wheels. In this case, the number of motors M used is 4, M1 to M4. A 3-phase alternating current motor or a DC motor can be used for the motors M. In the example hereinafter, the same motor is used in each of the 4 drive wheels. As described hereinafter, the drive wheels are not limited to 4 and the present invention is applicable to 2, 3, 5 or more drive wheels

(Configuration of Vehicle)

FIG. 3 is a diagram depicting a configuration of the vehicle. A vehicle 300 is a 4-wheel drive vehicle having left and right front drive wheels FL, FR and left and right rear drive wheels RL, RR. These 4 drive wheels FL, FR, RL, RR are equipped with the in-wheel motors M1 to M4, respectively and are independently driven.

The motors M1 to M4 are each equipped with an inverter INV for driving the motors. The inverters INV drive the motors M1 to M4, under the control of a controller (ECU) 301. The controller 301 receives input of various types of information and consequent to the distribution of torque, drives the motors M1 to M4.

Input to the controller 301 includes the following. The steering angle is input from a steering wheel 302. The instructed torque is input from an accelerator pedal 303. The braking amount is input from a brake pedal 304. The parking brake amount is input from a parking brake 305. The gear position such as reverse, neutral and drive is input by gears 306.

Further, the drive wheels FL, FR, RL, RR are each equipped with a sensor 307 a to 307 d that detects a rotational speed V. The rotational speeds Vfl, Vfr, Vrl, Vrr of the drive wheels FL, FR, RL, RR are input to the controller 301. The drive wheels FL, FR, RL, RR are each equipped with a sensor 308 a to 308 d that detects the normal force N subjected to the tires from the ground. The normal force Nfl, Nfr, Nrl, Nrr of each of the drive wheels FL, FR, RL, RR is input to the controller 301.

The vehicle 300 is equipped with an acceleration sensor 309 and the detected acceleration is input to the controller 301. The vehicle 300 is further equipped with a yaw rate sensor 310 and the detected yaw rate is input to the controller 301.

The controller 301 drives the drive wheels FL, FR, RL, RR, based on the above input. A control signal for driving, is supplied to the motors M1 to M4, via the inverter INV, and suitably distributes torque to each of the drive wheels FL, FR, RL, RR.

A battery 312 supplies power to the entire vehicle 300. In particular, the battery 312 is a drive source for driving the motors M1 to M4 of the drive wheels FL, FR, RL, RR, via the inverter INV. A secondary cell such as a nickel metal hydride and a lithium ion secondary cell, or a fuel cell can be adopted as the battery 312.

During regeneration at the vehicle 300, the inverter INV converts the alternating voltage generated by the motors M1 to M4 into direct voltage and can supply the resulting direct voltage to the battery 312. Regeneration is the generation of electric power when the driver of the vehicle 300 manipulates the brake pedal 304, and the generation of electric power by an easing of the force applied to the accelerator pedal 303 during travel.

Driving efficiency is expressed by driving efficiency η=motor M output/power supplied by battery 312=(T×ω)/(V×I).

(Hardware Configuration of Torque Distribution Apparatus)

A hardware configuration of a torque distribution apparatus 400 will be described. FIG. 4 is a block diagram of a hardware configuration of the torque distribution apparatus. In FIG. 4, the torque distribution apparatus 400 includes a CPU 401, ROM 402, RAM 403, a communication I/F 415, a GPS unit 416, and various sensors 417, respectively connected by a bus 420.

The CPU 401 governs overall control of the torque distribution apparatus 400. The ROM 402 stores programs such as a boot program and the torque distribution program and can further store the motor efficiency maps. The RAM 403 is used as a work area of the CPU 401. In other words, the CPU 401 uses the RAM 403 as a work area and executes programs stored on the ROM 402 to thereby govern overall control of the torque distribution apparatus 400.

The communication I/F 415 is wirelessly connected to a network and functions as an interface of the torque distribution apparatus 400 and the CPU 401. Among communication networks functioning as the network are public line and mobile telephone networks, as well as dedicated short range communication (DSRC), LANs, and WANs. The communication I/F 415 is, for example, a module for connecting to public lines, an ETC unit, an FM tuner, a vehicle information and communication system (VICS)/beacon receiver and the like.

The GPS unit 416 receives signals from GPS satellites, and outputs information indicating the current position of the vehicle. Information output by the GPS unit 416 is used in conjunction with values output by the various sensors 417 described hereinafter when the current position of the vehicle is calculated by the CPU 401. Information indicating the current position is, for example, information that identifies 1 point on map data such as longitude/latitude, altitude, and the like.

Here, in a case where the slip rate and friction coefficient (μ-λ) characteristic of the traveled road surface is acquired from a server outside the vehicle, the communication I/F 415 and the GPS unit 416 are used. The various sensors 417 are used in the detection of vehicular speed and the normal force. The vehicular speed, for example, is detected by the following methods.

1. Integration of acceleration sensor output 2. Calculated from rotational speed of non-driving wheels 3. Calculated from traveled distance per unit time obtained by GPS and/or other positioning sensors

To detect the normal force, load sensors disposed at each tire are used or the following methods are used.

1. Obtain displacement of barycentric position from output of accelerator sensor and calculate load balance of front wheels and rear wheels 2. Obtain displacement of barycentric position from output of yaw rate sensor and calculate load balance of front wheels and rear wheels 3. Obtain displacement of barycentric position from output of inclination sensor (gyro) and calculate load balance of front wheels and rear wheels, as well as right wheels and left wheels

Functions of the calculating unit 106, the distributing unit 107, and the control unit 108 of the torque distribution apparatus 100 depicted in FIG. 1 are implemented by controlling each of the components in the torque distribution apparatus 400 by executing on the CPU 401, a given program by using the programs and data stored in the ROM 402 and the RAM 403 of the torque distribution apparatus 400.

(Torque Distribution Control by Torque Distribution Apparatus)

The torque distribution apparatus 400 of the present example performs optimization such that the efficiency of the drive system is maximized. The torque provided to the drive wheels is indicated as T1, T2, T3, T4 respectively for the drive wheels; the efficiency is indicated as η1, η2, η3, η4; and the overall efficiency η of the 4 wheels is express by expression (1).

η=(T1·η1+T2·η2+T3·η3+3+T4·η4)/T  (1)

(total driving torque T=T1+T2+T3+T4)

FIG. 5 is a diagram of an example of the motor efficiency map. The horizontal axis represents rotational speed and the vertical axis represents torque. The following may be considered when in FIG. 5, efficiency that is obtained from a performance curve C that is linear when the vehicle is traveling at a constant speed, is used for drive wheel selection.

(1) torque driving by 4 wheels (2) torque driving by 2 wheels (3) torque driving by only 1 wheel

(1) In the case of torque driving by 4 wheels (distribute ¼ (0.25) of torque to each of the 4 wheels)

η1=0.25·0.77+0.25·0.77+0.25·0.77+0.25·0.77=0.77

(2) In the case of torque driving by 2 wheels (distribute ½ (0.5) of torque to each of the 2 wheels)

η2=0.5·0.83+0.5·0.83+0+0=0.83

(3) In the case of torque driving by only 1 wheel (distribute all (1) of torque to only 1 wheel)

η3=1·0.72+0+0+0=0.72

According to the description above, it can be seen that torque efficiency improves by performing torque distribution that has a lot of torque in an area where efficiency is high.

Here, relations between torque and rotational speed will be described.

A motion expression of the drive wheels and the driving force of a drive wheel are represented as expressions (2), (3), (4).

$\begin{matrix} {{J_{w}\frac{\omega}{t}} = {T_{m} - T_{d}}} & (2) \\ {F_{d} = {\mu \times N}} & (3) \\ {T_{d} = {F_{d} \times r}} & (4) \end{matrix}$

(Tm: instructed torque for motor; Td: driving torque of drive wheel; Fd: driving force; Jw: moment of inertia of drive wheel; μ: friction coefficient of road surface, tire; N: normal force; r: tire radius)

Here, the driving torque of the drive wheel means the torque of the motor equipped in the drive wheel. If abrupt acceleration or deceleration are not performed, variations in speed are gradual and therefore, variation of the rotational speed is low and expression (5) below is obtained.

dω/dt≈0(5)

That is, an instructed torque Tm for the motor and the driving torque Td of the drive wheel are approximately equal,

∴Tm≈Td=Fd·r=μ·N·r

Hereinafter, description will be continued assuming that variation of the vehicular speed is gradual, and the instructed torque Tm of the motor and the driving torque Td of the drive wheel are approximately equal.

FIG. 6 is a diagram depicting relations between slip rate and friction coefficients. The horizontal axis represents the slip rate λ. The vertical axis represents the friction coefficient μ. The slip rate λ and the friction coefficient μ have the relation depicted in FIG. 6 and can be approximated by expression (6) below. In the graph depicted in FIG. 6, the friction coefficient μ is greatest when the slip rate λ is 0.2. When the slip rate λ is 1, this corresponds to idle rotation of the drive wheel. By performing control to suppress the slip rate λ to be within a range of 0 to 0.2, travel can be performed without idle rotation of the drive wheel. Further, concerning the characteristics depicted in FIG. 6, the maximum value of μ or the value of λ, which is the maximum of μ, vary consequent to the state of the tire and/or road surface. Even in this case, by changing the values of the parameters B, C, D, E in expression (6) approximation can be performed. However, in general, since sudden changes in the surface of the tires and asphalt roads are rare, changes in the μ-λcharacteristics during travel are gradual.

$\begin{matrix} {{\mu = {D \times {\sin\left( {{C \times {\tan^{- 1}\left( {B \times \left( {1 - E} \right) \times \lambda} \right)}} + {\frac{E}{B} \times {\tan^{- 1}\left( {B \times \lambda} \right)}}} \right)}}}\left( {{B = 10},{C = 1.5},{D = 0.8},{E = 0.2}} \right)} & (6) \end{matrix}$ Further, λ=(r·ω−v)/(r·ω)=1−v/(r·ω)  (7)

Therefore, Td is expressed by expression (8).

Td=Fd·r=μ·N·r  (8)

If abrupt acceleration or deceleration is not performed, variations in the speed are gradual and therefore, a vehicular speed v looks substantially constant and the relation between Td and ω can be obtained by expression (8).

FIG. 7 is a diagram depicting relations between the rotational speed and torque, taking the slip rate into consideration. The torque and rotational speed calculated based on the expression above are depicted. Here, the normal force N: 400 [kg]×9.8 [m/s²]; tire radius r: 0.3 [m]; the vehicular speed v=25, 50, 75, 100 [km/h] are assumed.

Therefore, if the torque of the drive wheel varies consequent to a changing of the torque distribution, the rotational speed correspondingly varies. The vehicular speed curves respectively depicted in FIG. 7 are not straight lines but rather gradually tilt as torque increases and are change curves that become saturated at the maximum torque.

FIG. 8 is a diagram depicting the change curve depicted in FIG. 7 superimposed on a motor efficiency map. The horizontal axis represents the rotational speed ω and the vertical axis represents the torque Td. In the present example, the motor efficiency map includes not only the characteristics of the motor M, but also depicts characteristics that include the characteristics (efficiency) of the inverter INV included in the drive system.

As depicted in FIG. 8, in the performance curve C of a given speed (e.g., 75 [km/h]), when the torque of 1 drive wheel is at a point_a and the torque of the drive wheel varies greatly consequent to changing the torque distribution, other points such as point_b and point_c on the performance curve C move. In this case, since the performance curve C is sloped, the value of the rotational speed ω also increases. Therefore, if torque distribution is performed without taking variation of the rotational speed ω into consideration, proper operating points are not known and consequently, margins of error arise in the efficiency values. Therefore, as depicted in FIG. 8, by drawing performance curves for each vehicular speed on motor efficiency map, and obtaining torque-efficiency relations, even when the torque distribution varies, the efficiency can be properly calculated.

FIGS. 9A and 9B are diagrams depicting relations between torque and efficiency that change according to vehicular speed. FIG. 9A depicts torque-efficiency characteristics on a performance curve when the vehicular speed is 50 [km/h]. FIG. 9B depicts torque-efficiency characteristics on a performance curve when the vehicular speed is 75 [km/h].

Further, the efficiency η obtained by a sixth order approximation of the performance curve corresponding to FIG. 9A is:

η=−1.7088E−14Td ⁶+1.8521E−11Td ⁵−7.9786E−09Td ⁴+1.7336E−06Td ³−2.0447E−04Td ²+1.1782E−02Td+4.4673E−01  (9)

Further, the efficiency η obtained by a sixth order approximation of the performance curve corresponding to FIG. 9B is:

η=1.1253E−14Td ⁶−1.0197E−11Td ⁵+3.2448E−09Td ⁴−3.5952E−07Td ³−2.6286E−05Td ²+7.8911E−03Td+4.9954E−01  (10)

By substituting a value for the torque Td in the approximation expression above, the efficiency η can be obtained. According to expression (1), in the case of 4-wheel drive, the greatest T1·η1+T2·η2+T3·η3+T4·η4 within a conditional range of T1+T2+T3+T4=T (instructed torque), is the optimal efficiency.

A calculation method of the slip rate will be described. The slip rate λ is defined by expression (11) below.

$\begin{matrix} {\lambda = {\frac{v_{w} - v}{v_{w}} = \frac{{r \times \omega} - v}{r \times \omega}}} & (11) \end{matrix}$

Here, (v: vehicular speed; v_(w): drive wheel speed; ω: drive wheel rotational speed; r: tire radius); and since the greater among v and v_(w) is the denominator, during acceleration, the denominator is v_(w) as above and during deceleration, the denominator is v. Supplemental description will be given concerning differences between the vehicular speed, the drive wheel speed, and the drive wheel rotational speed. By multiplying the rotational speed of the tire by the tire radius, traveling speed of the tire is obtained. When the motors are driven and the vehicle is traveling, the speed of the tires is slower than the speed of the vehicle. Meanwhile, when braking of the motors occurs while the vehicle is traveling, the speed of the tires is slower than the speed of the vehicle. The slip rate indicates the relation between tire speed and vehicular speed and is expressed by expression (12).

slip rate=(wheel speed−vehicular speed)/the greater among vehicular speed and wheel speed

λ=(v _(w) −v)/Max(v _(w) ,v)  (12)

For the wheel of a motor that is neither driven nor braked, the slip rate is approximately zero and therefore, the speed of this wheel is approximately equal to the vehicular speed (v_(w)≈v).

The rotational speed of the drive wheel can be calculated using a pulsed output signal of the resolver of the motor M, an encoder, a Hall element, and the like. To obtain the vehicular speed, 1. since the slip rate of a non-driving wheels is approximately zero, the speed of a non-driving wheel can be detected as the vehicular speed; 2. the output of the acceleration sensor is integrated and the vehicular speed is obtained; and 3. the vehicular position is detected by a sensor and the speed at which a distance is traveled per unit time is obtained, can be considered.

(Example of Torque Distribution)

FIG. 10 is a diagram of relations between torque and efficiency. Similar to FIGS. 9A and 9B, the horizontal axis represents torque and the vertical axis represent efficiency. As depicted in FIG. 10, the point on the performance curve where the efficiency η is greatest is regarded as the torque that optimizes efficiency To. Further, on the performance curve, the efficiency that corresponds to the torque that is twice the torque that optimizes efficiency To is indicated as 2To.

(Characteristics of Performance Curve on Motor Efficiency Map)

Here, torque distribution for torque-efficiency characteristics specific to each motor will be described. As with the torque-efficiency characteristics above in FIGS. 9A and 9B, each has a curve specific to each motor M. FIGS. 11A to 11C are diagrams depicting torque-efficiency characteristics specific to each motor. FIG. 11A is abbreviated as an inversed U-type; FIG. 11B is abbreviated as a Δ-type; and FIG. 11C is abbreviated as a peak-type. For simplification, torque distribution in the case of 2 drive wheels is considered. Based on expression (1), the efficiency η when all the instructed torque T is distributed among 2 wheels is:

η=(T1·η1+T2·η2)/T  (13)

(torque of drive wheel 1: T1; corresponding efficiency: η1; torque of drive wheel 2: T2, corresponding efficiency: η2)

For example, if the instructed torque T is 160 [Nm], (T1,T2)=(100,60), (80,80), and the like, although there are many combinations, by substituting the torque value of each into expression (13) above, the efficiency can be calculated. Thus, the combination of torque values that maximizes efficiency merely has to be selected. An example will be described below.

FIGS. 12A to 12F are diagrams depicting characteristics of each wheel, among the torque-efficiency characteristics of the inversed U-type. In FIG. 12A, the instructed torque T is 100 [Nm] and the efficiency η is greatest when (T1,T2)=(0,100), (100,0). The total efficiency is the characteristic obtained by substitution into expression (13). In FIG. 12B, the instructed torque T is 120 [Nm], and the efficiency η is greatest when (T1,T2)=(0,120), (120,0). In FIG. 12C, the instructed torque T is 140 [Nm], and the efficiency η is greatest when (T1,T2)=(0,140), (140,0). In FIG. 12D, the instructed torque T is 160 [Nm], and the efficiency η is greatest when (T1,T2)=(80,80). In FIG. 12E, the instructed torque T is 180 [Nm], the efficiency η is greatest when (T1,T2)=(90,90). In FIG. 12F, the instructed torque T is 200 [Nm], and the efficiency η is greatest when (T1,T2)=(100,100).

FIGS. 13A to 13F are diagrams depicting characteristics of each wheel, among the torque-efficiency characteristics of the Δ-type. In FIG. 13A, the instructed torque T is 100 [Nm], and the efficiency η is greatest when (T1,T2)=(0,100), (100,0). In FIG. 13B, the instructed torque T is 120 [Nm], and the efficiency η is greatest when (T1,T2)=(0,120), (120,0). In FIG. 13C, the instructed torque T is 140 [Nm], and the efficiency η is greatest when (T1,T2)=(40,100), (100,40). In FIG. 13D, the instructed torque T is 160 [Nm], and the efficiency η is greatest when (T1,T2)=(60,100), (100,60). In FIG. 13E, the instructed torque T is 180 [Nm], and the efficiency η is greatest when (T1,T2)=(80,100), (100,80). In FIG. 13F, the instructed torque T is 200 [Nm], and the efficiency η is greatest when (T1,T2)=(100,100).

FIGS. 14A to 14F are diagrams of the characteristics of each wheel, among the torque-efficiency characteristics of the peak-type. In FIG. 14A, the instructed torque T is 100 [Nm], and the efficiency η is greatest when (T1,T2)=(0,100), (100,0). In FIG. 14B, the instructed torque T is 120 [Nm], and the efficiency η is greatest when (T1,T2)=(20,100), (100,20). In FIG. 14C, the instructed torque T is 140 [Nm], and the efficiency η is greatest when (T1,T2)=(40,100), (100,40). In FIG. 14D, the instructed torque T is 160 [Nm], and the efficiency η is greatest when (T1,T2)=(60,100), (100,60). In FIG. 14E, the instructed torque T is 180 [Nm], and the efficiency η is greatest when (T1,T2)=(80,100), (100,80). In FIG. 14F, the instructed torque T is 200 [Nm], and the efficiency η is greatest when (T1,T2)=(100,100).

Thus, the combination that maximizes the efficiency η is any of the following:

(T1,T2)=(0,T),(T,0),(To,T−To),(T−To,To),(T/2,T/2)  (14)

(To: torque optimizing efficiency) Thus, even if the shape of the curve of the torque-efficiency characteristics is any one of the types in FIGS. 11A to 11C, among the combinations of expression (14), the presence of the combination that maximizes the efficiency η is focused on.

In other words, even when the shape of the curve of the torque-efficiency characteristics is unclear, the combination that maximizes the result of calculating the combinations depicted in expression (14) is the combination of torque distribution that maximizes the efficiency η. When the shape of the curve of the torque-efficiency characteristics is complicated, although the combination maximizing efficiency may be a combination other than those among expression (14), for complicated characteristics excluding those having many points of reverse curvature, the combination that maximizes efficiency among the combinations indicated by expression (14) is present. In other words, although the combinations of torque distribution are countless, by merely calculating the combinations indicated by expression (14), an optimal torque distribution value can be obtained. In the example above, although description is given for torque distribution for 2 wheels, torque distribution for multiple wheels such as 4, etc. is the same.

Thus, in the distributions depicted in FIGS. 15A to 15E described hereinafter, a combination that maximizes the efficiency η is present. Further, since the motor efficiency maps indicating the torque-efficiency characteristics of the inversed U-type are numerous, simplification of the torque distribution described hereinafter with reference to FIGS. 16A and 16B is possible.

Assuming that the number of motors M is n (n=natural number), the distributing unit 107:

(1) Distributes all of the instructed torque T to the torque distribution value of one of the motors M, when the instructed torque T is less than the torque that optimizes efficiency To.

(2) Performs torque distribution by any one among (a) to (c) below, when the instructed torque T is greater than or equal to the torque that optimizes efficiency To and is less than n times the torque that optimizes efficiency To. In this case, among (a) to (c), that which has the optimum drive system efficiency is selected.

(a) Distributes the torque that optimizes efficiency To to the respective torque distribution values of a portion of the motors M and further distributes the remainder obtained by dividing the instructed torque T by the torque that optimizes efficiency To to one of the motors, or equally distributes the remainder to the n motors M. (b) Distributes the torque that optimizes efficiency To to the respective torque distribution values of a portion of the motors M and equally distributes to the respective torque distribution values of other motors M, the torque that remain after distribution to the portion of the motors M. (c) Distributes the instructed torque T equally to each of the motors M.

(3) When the instructed torque T is greater than or equal to n times the torque that optimizes efficiency To, distributes the torque that optimizes efficiency To to the respective torque distribution values of the n motors M, and further selects the combination having the optimum drive system efficiency, among the one or the n motors M to which the remainder obtained by dividing the instructed torque T by the torque that optimizes efficiency To, is divided and equally distributed.

FIGS. 15A to 15E are diagrams for describing torque distribution in the case of 4 drive wheels. Distribution examples in which the distributing unit 107 distributes torque to each of the n motors M, where n=4, will be described.

(When T<To)

As depicted in FIG. 15A, when the instructed torque T is less than the torque that optimizes efficiency To, the instructed torque T is distributed to the torque distribution value of one motor.

(When To≦T<2To)

As depicted in FIG. 15B, when the instructed torque T is greater than or equal to the torque that optimizes efficiency To and less than twice the torque that optimizes efficiency To, from among (a) to (c), the combination having the optimum drive system efficiency is selected.

(a) Distribute the instructed torque T to the torque distribution value of one motor. (b) Distribute the torque that optimizes efficiency To the torque distribution value of one motor and distribute the remaining torque to the torque distribution value of another (one) motor. (c) Distribute ½ of the instructed torque T to the torque distribution values of two motors.

(When 2To≦T<3To)

As depicted in FIG. 15C, when the instructed torque T is greater than or equal to twice the torque that optimizes efficiency To and less than 3 times the torque that optimizes efficiency To, from among (a) to (e), the combination having the optimum drive system efficiency is selected.

(a) Distribute the torque that optimizes efficiency To to the torque distribution value of one motor and distribute the remaining torque to the torque distribution value of another (one) motor. (b) Distribute ½ of the instructed torque T to the torque distribution values of two motors. (c) Distribute the torque that optimizes efficiency To to the torque distribution values of two motors and distribute the remaining torque to the torque distribution value of another (one) motor. (d) Distribute the torque that optimizes efficiency To to the torque distribution value of one motor and distribute ½ of the remaining torque to the torque distribution values of two motors. (e) Distribute ⅓ of the instructed torque T to the torque distribution values of three motors.

(When 3To≦T<4To)

As depicted in FIG. 15D, when the instructed torque T is greater than or equal to 3 times the torque that optimizes efficiency To and less than 4 times the torque that optimizes efficiency To, from among (a) to (g), the combination having the optimum drive system efficiency is selected.

(a) Distribute the torque that optimizes efficiency To to the torque distribution values of two motors and distribute the remaining torque to the torque distribution value of one of the remaining motors. (b) Distribute the torque that optimizes efficiency To to the torque distribution value of one motor, and distribute ½ of the remaining torque to the torque distribution values of two motors. (c) Distribute ⅓ of the instructed torque T to the torque distribution values of three motors. (d) Distribute the torque that optimizes efficiency To to the torque distribution values of three motors and distribute the remaining torque to the torque distribution value of the remaining motor. (e) Distribute the torque that optimizes efficiency To to the torque distribution values of two motors and distribute ½ of the remaining torque to the torque distribution values of the remaining two motors. (f) Distribute the torque that optimizes efficiency To to the torque distribution value of one motor, and distribute ⅓ of the remaining torque to the torque distribution values of the remaining three motors. (g) Distribute ¼ of the instructed torque T to the torque distribution values of 4 motors.

(When 4To≦T)

As depicted in FIG. 15E, the instructed torque T is greater than or equal to 4 times the torque that optimizes efficiency To, from among (a) to (d), the combination having the optimum drive system efficiency is selected.

(a) Distribute the torque that optimizes efficiency To to the torque distribution values of three motors and distribute the remaining torque to the torque distribution value of the remaining one motor. (b) Distribute the torque that optimizes efficiency To to the torque distribution values of two motors, and distribute ½ of the remaining torque to the torque distribution values of the remaining two motors. (c) Distribute the torque that optimizes efficiency To to the torque distribution value of one motor and distribute ⅓ of the remaining torque to the torque distribution values of the remaining three motors. (d) Distribute ¼ of the instructed torque T to the torque distribution values of four motors.

Expression of the distribution examples as expressions is as follows.

(When T<To)

T1=T,T2=T3=T4=0

(When To≦T<2To)

Efficiency is calculated by the following three methods (a) to (c), and the combination that maximizes efficiency is selected.

T1=To+(T−To),T2=T3=T4=0  (a)

T1=To,T2=To−(2To−T),T3=T4=0  (b)

T1=T2=To−(2To−T)/2,T3=T4=0  (c)

(When 2To≦T<3To)

Efficiency is calculated by the following five methods (a) to (e), and the combination that maximizes efficiency is selected.

T1=To+(T−2To),T2=To,T3=T4=0  (a)

T1=T2=To+(T−2To)/2,T3=T4=0  (b)

T1=T2=To,T3=To−(3To−T),T4=0  (c)

T1=To,T2=T3=To−(3To−T)/2,T4=0  (d)

T1=T2=T3=To−(3To−T)/3,T4=0  (e)

(When 3To≦T<4To)

Efficiency is calculated by the following seven methods (a) to (g), and the combination that maximizes efficiency is selected.

T1=To+(T−3To),T2=T3=To,T4=0  (a)

T1=T2=To+(T−3To)/2,T3=To,T4=0  (b)

T1=T2=T3=To+(T−3To)/3,T4=0  (c)

T1=T2=T3=To,T4=To−(4To−T)  (d)

T1=T2=To,T3=T4=To−(4To−T)/2  (e)

T1=To,T2=T3=T4=To−(4To−T)/3  (f)

T1=T2=T3=T4=To−(4To−T)/4  (g)

(When 4To≦T)

Efficiency is calculated by the following four methods (a) to (d), and the combination that maximizes efficiency is selected.

T1=To+(T−4To),T2=T3=T4=To  (a)

T1=T2=To+(T−4To)/2,T3=T4=To  (b)

T1=T2=T3=To+(T−4To)/3,T4=To  (c)

T1=T2=T3=T4=To+(T−4To)/4  (d)

Next, general expressions for torque distribution when n motors M are given.

(When T<k·To, (k=1))

T1=T,T2=T3= . . . =T _(n)=0

(When (k−1)·To≦T<k·To, efficiency is calculate by the following (2k−1) methods, and the combination that maximizes efficiency is selected (k=2 to n))

T 1 = To + (T − (k − 1) ⋅ To)/1, T 2 = T 3 = … = T_(k − 1) = To, T_(k) = T_(k + 1) = … = T_(n) = 0 T 1 = T 2 = To + (T − (k − 1) ⋅ To)/2, T 3 = T 4 = … = t_(k − 1) = To, T_(k) = T_(k + 1) = … = T_(n) = 0 … T 1 = T 2 = … = T_(k − 2) = To + (T − (k − 1) ⋅ To)/(k − 2), T_(k − 1) = To, T_(k) = T_(k + 1) = … = T_(n) = 0 T 1 = T 2 = … = T_(k − 1) = To + (T − (k − 1) ⋅ To)/(k − 1), T_(k) = T_(k + 1) = … = T_(n) = 0

k−1 methods from the above.

T 1 = T 2 = … = T_(k − 1) = To, T_(k) = To − (k ⋅ To − T)/1, T_(k + 1) = … = T_(n) = 0 T 1 = T 2 = … = T_(k − 2) = To, T_(k − 1) = T_(k) = To − (k ⋅ To − T)/2, T_(k + 1) = … = T_(n) = 0 … T 1 = To, T 2 = … = T_(k − 1) = T_(k) = To − (k ⋅ To − T)/(l − 1), T_(k + 1) = … = T_(n) = 0 T 1 = T 2 = … = T_(k − 1) = T_(k) = To − (k ⋅ To − T)/k, T_(k + 1) = … = T_(n) = 0

k methods from the above. Together with the k−1 methods above, being the 2k−1 methods. (When n·To≦T, efficiency is calculated by the following n methods, and the combination that maximizes efficiency is selected)

T 1 = To + (T − n ⋅ To)/1, T 2 = T 3 = … = T_(n − 1) = T_(n) = To T 1 = T 2 = To + (T − n ⋅ To)/2, T 3 = T 4 = … = T_(n − 1) = T_(n) = To … T 1 = T 2 = … = T_(n − 1) = To + (T − n ⋅ To)/(n − 1), T_(n) = To T 1 = T 2 = … = T_(n − 1) = T_(n) = To + (T − n ⋅ To)/n

n methods from the above.

Thus, the torque distribution is not limited to 4-wheel drives and can be applied to 6-wheel and 8-wheel drive vehicles, etc.

(Simplification of Torque Distribution for 4-Wheel Drives)

In general, since motor efficiency maps depicting torque-efficiency characteristics of the inversed U-type like that in FIG. 11A are numerous, simplification of the torque distribution is possible. Concerning relation of efficiency with respect to torque at a given speed, the greater the deviation from the torque To yielding optimal efficiency is, the more efficiency drops. Therefore, the torque of each drive wheel is equally distributed such that the torque approaches the torque that optimizes efficiency To. The efficiency curve in a torque-efficiency characteristics graph may be asymmetrical with respect to the torque that optimizes efficiency To as the center and therefore, there is difference between a variation of efficiency when the torque is less than the torque that optimizes efficiency To and a variation when the torque is greater than the torque that optimizes efficiency To. Therefore, simplified torque distribution can be performed by using the ratio of the efficiency variation when the torque is less than the torque that optimizes efficiency To to the efficiency variation when the torque is greater than the torque that optimizes efficiency To, and the relation between the instructed torque T and the torque that optimizes efficiency To.

FIG. 16A is a diagram for explaining variation differences among torque-efficiency characteristics. Taking the depicted torque that optimizes efficiency To as the center, variation when the torque is low is twice the variation when the torque is high. In such a case, if the drive wheel count is 4, simplified torque distribution is performed as described in (1) to (4) below. In FIG. 16A, 150 [Nm] and 75 [Nm] have the same efficiency; 128.6 [Nm] and 85.7 [Nm] have the same efficiency; and 120 [Nm] and 90 [Nm] have the same efficiency.

(1) When T<To+2To/4 (In the example depicted in FIG. 16A, when T<150 [Nm])

T1=T,T2=T3=T4=0

(2) When 2(To−To/4)≦T<2(To+2To/7) (In the example depicted in FIG. 16A, when 75 [Nm]·2≦T<128.6 [Nm]·2)

T1=T2=T/2,T3=T4=0

(3) When 3(To−To/7)≦T<3(To+2To/10) (In the example depicted in FIG. 16A, when 85.7 [Nm]·3≦T<120 [Nm]·3)

T1=T2=T3=T/3,T4=0

(4) When 4(To−To/10)≦(In the example depicted in FIG. 16A, when 90 [Nm]·4≦T)

T1=T2=T3=T4=T/4

The torque-efficiency characteristics in FIG. 16A use the same characteristics in FIG. 11A with respect to which torque distribution in the case of torque-efficiency characteristics of the inversed U-type was described. In substituting a value of 100 to 200 [Nm] for T in the above case-determined expressions, when T<150 [Nm], (T1,T2)=(T,0) is the optimal efficiency distribution; and when 150 [Nm]≦T<257.2 [Nm], (T1,T2)=(T/2,T/2) is the optimal efficiency distribution. Therefore, the torque distribution for torque-efficiency characteristics of the inversed U-type can be confirmed to coincide with the results depicted in FIGS. 12A to 12F. Thus, if it is known that the torque-efficiency characteristics are of the inversed U-type, optimal torque distribution becomes possible by a simple method of torque distribution as that described. (Simplification of Torque Distribution for n-Wheel Drive Seen in Typical System)

FIG. 16B is a diagram for explaining deviation from the torque that optimizes efficiency in torque-efficiency characteristics. Here, k: drive wheel count; X: deviation from the torque that optimizes efficiency To, for low torque side; Y: deviation from the torque that optimizes efficiency To, for high torque side; a: (variation for high torque side)/(variation for low torque side); and case-determined expressions for torque distribution are (1) to (3) below.

(1) When T<k·(To+(a·To)/(a·k+k+1)), (k=1) T1=T,T2= . . . =T_(n)=0 (2) When k·(To−(To)/(a·(k−1)+(k−1)+1))≦T<k·(To+(a·To)/(a·k+k+1)), (k=2 to n−1)

T1=T2= . . . =T _(k) =T/k,T _(k+1) = . . . =T _(n)=0

(3) When n·(To−(To)/(a·(n−1)+(n−1)+1))≦T,(k=n)

T1=T2= . . . =T _(n−1) =T _(n) =T/n

In the case of driving by k+1 wheels, the torque value for which the same efficiency yielded as in a case of driving by k wheels is the boundary value of the case-determined expressions (1) to (3) above.

(k+1)·(To−X)=k·(To+Y)  (15)

Y=a·X  (16)

In solving expressions (15) and (16) to obtain X and Y, the following is obtained.

X=To/(a·k+k+1)  (17)

Y=(a·To)/(a·k+k+1)  (18)

Case-determined expressions in the case of n-wheel drive become possible using expressions (17) and (18).

(Dynamic Torque Distribution)

Next, an example of performing dynamic torque distribution according to variations in speed will be described since the torque that optimizes efficiency To differs according to the speed of the vehicle (drive wheel). FIG. 17 is a diagram for explaining dynamic torque distribution according to travel pattern. The horizontal axis represents rotational speed and the vertical axis represents torque, and on a motor efficiency map, a travel pattern of the vehicle is depicted.

In the case of the travel pattern depicted in FIG. 17, torque distribution where T1=T, T2=T3=T4=0 is assumed until point A is reached during acceleration. Torque distribution where T1=T2=T/2, T3=T4=0 is assumed from point A to point B. Torque distribution where T1=T2=T3=T/3, T4=0 is assumed from point B to point C. Torque distribution where T1=T2=T/2, T3=T4=0 is assumed from point C to point D. Beyond point D, torque distribution where T1=T, T2=T3=T4=0 is assumed. In this manner, since torque distribution that is optimal with respect to temporally changing speed and load torque is continually performed, dynamic torque distribution can be performed by control over a broad spectrum.

FIG. 18 is a graph depicting optimal drive wheel count data set based on the rotational speed-instructed torque. Optimal torque distribution can be performed in real-time during travel by creating a chart or calculation formula for obtaining the drive wheel count that maximizes overall efficiency, according to the speed of the vehicle (drive wheel) and the instructed torque T.

For example, dynamic torque distribution in the case of the travel pattern depicted in FIG. 18 will be described. Until point A is reached, the torque distribution is T1=T, T2=T3=T4=0, i.e., 1-wheel drive. From point A to point B, the torque distribution is T1=T2=T/2, T3=T4=0, i.e., 2-wheel drive. From point B to point C, the torque distribution is T1=T2=T3=T/3, T4=0, i.e., 3-wheel drive. From point C to point D, the torque distribution is T1=T2=T3=T4=T/4, i.e., 4-wheel drive. From point D to point E, the torque distribution is T1=T2=T3=T/3, T4=0, i.e., 3-wheel drive. After point E, the torque distribution is T1=T2=T/2, T3=T4=0, i.e., 2-wheel drive.

The result of the algorithm of the described torque distribution, i.e., motor efficiency map, need not be retained in memory as it suffices to retain in the memory as the graph depicted in FIG. 18 or a calculation formula, the drive wheel count and torque values of the drive wheels output for the input speed and torque.

According to the first example, by drawing on the motor efficiency map, a performance curve that is sloped and takes into consideration slip rate, the operating point of the rotational speed and torque can be accurately detected. Therefore, the calculation of efficiency by torque distribution can be performed more accurately. Further, optimal torque distribution can be performed with respect to each drive wheel. During travel where the total torque for the left drive wheels and the total torque for the right drive wheels differ, the angle of the steering wheel 302 and the angle of the vehicle are detected by the yaw rate sensor 310 and if the difference is judged to be large, the torque distribution is adjusted such that the left/right torque difference decreases to secure stability while the vehicle is in motion.

Second Example (Configuration to Improve Overall Efficiency)

In the second example, a configuration to improve overall efficiency will be described. FIG. 19 is a diagram for explaining overall efficiency. The vehicle travels by driving motors M by power supplied from the battery 312. The motor M sustains loss such as copper loss by coil resistance or iron loss by eddy current or magnetic hysteresis. Efficiency from the supply of power until the motor M output is the efficiency of the drive system. A vehicle 1900 that travels by the driving force of the motor M, in actuality, has a propulsion system 1901 that propels the vehicle 1900 by receiving the output from the motor M and the driving rotation of the tires. The propulsion system 1901 also sustains loss consequent to slippage between the tires and the road surface. The efficiency from the output of the motor M until output as propulsion power is the efficiency of the propulsion system. The overall efficiency of the vehicle is indicated by the efficiency of drive system×the efficiency of the propulsion system.

The driving efficiency is expressed as the driving efficiency ηd=motor M output/power supplied from the battery 312=(T×ω)/(V×I).

The torque distribution described in the first example concerns driving efficiency. In the second example, configuration is described that by improving the efficiency of the propulsion system, maximizes the overall efficiency.

A driving force Fd per drive wheel is expressed by the following expression.

Fd=μ·N  (19)

(μ: friction coefficient; N: normal force)

Therefore, Td=Fd·r=μ·N·r  (20)

(r: tire radius)

The efficiency ηΔ of the propulsion system is:

ηΔ=propulsion power/motor output=(Fd·v)/(Td·ω)=(Fd·v)/(Fd·r·ω)=v/(r·ω)=v/v _(w)  (21)

(v: vehicular speed [m/s]; v_(w): wheel speed [m/s]) Further, the slip rate λ is expression by expression (11). Therefore, the efficiency ηλ of the propulsion system can be expressed using the slip rate λ.

∴ηΔ=1−λ  (22)

From the characteristics of the slip rate and friction coefficient in FIG. 6, the slip rate λ can be regarded as a function of the friction coefficient μ and when expressed with λ=f(μ), the efficiency ηλ of the propulsion system can be expressed as follows.

ηλ=1−λ=1−f(μ)=1−f(Td/(N·r))  (23)

∵μ=Td/(N·r)  (24)

From expression (20), when N is constant and Td increases, μ increases. From the relation depicted in FIG. 6, within a range where λ is 0.2 or less and μ increases, λ increases. Thus, 1−λ decreases.

FIG. 20 is a diagram depicting a torque-propulsion efficiency relation when the normal force is constant. In this case, as depicted, if the torque Td increases, the propulsion efficiency ηλ decreases and the degree of the decrease increases at the torque Td increases. In other words, if the torque Td of the drive wheel increases, the propulsion efficiency ηλ decreases; and if the torque Td of the drive wheel decreases, the propulsion efficiency ηλ increases. In this manner, when the torque distribution described in the first example is performed, to improve the overall efficiency, not only the driving efficiency, but also the propulsion efficiency has to be considered. The propulsion efficiency ηλ, as described, is not limited to a configuration that uses preliminarily created chrematistics maps of the slip rate λ—the friction coefficient μ retained in memory. As another configuration, for example, as the vehicle travels, the vehicular speed at that time can be detected by a sensor (or estimated by calculation) and further, the speed of the drive wheel can be detected by a sensor and the slip rate λ can be approximated by calculation to be used as parameters of the propulsion efficiency ηλ.

(Variation of Propulsion Efficiency Consequent to Load Variation)

By transforming expression (20), which represents torque, the following expression is obtained.

μ=Td/(N·r)  (25)

FIG. 21 is a diagram depicting states in which the normal force differs according to drive wheel. From expression (25), if a given drive wheel is provided a given instructed torque, the friction coefficient μ varies according to the variation of the normal force N from the road surface to the tire. As depicted in FIG. 21, when the vehicle is climbing a hill, on a slope, accelerating, turning, etc., the load balance of the vehicle changes and if the normal force N of a given drive wheel decreases, the friction coefficient μ increases, and the slip rate λ also increases. As a result, 1−λ in expression (22) decreases and the efficiency ηλ of the propulsion system decreases.

FIG. 22 is a graph depicting torque-propulsion efficiency according to normal force. From expression (23), if the normal force N increases, the efficiency ηλ of the propulsion system increases, and the degree by which the efficiency ηλ of the propulsion system decreases accompanying an increase in the torque Td becomes gradual. Therefore, if the normal force N of the drive wheels varies, for a drive wheel for which the normal force N increases, the efficiency ηλ of the propulsion system increases; and for a drive wheel for which the normal force N decreases, the efficiency ηλ of the propulsion system decreases. Consequently, by increasing the torque of a drive wheel subjected to a large load and decreasing the torque of a drive wheel subjected to a small load, the propulsion efficiency can be improved.

(Overall Efficiency)

FIG. 23 is a diagram for explaining overall efficiency of the entire vehicle. The instructed torque T is distributed as T1, T2, T3, T4 to the drive wheels FL, FR, RL, RR of the vehicle 300. The overall efficiency of the vehicle 300 can be obtained by a summation of torque distribution ratios of the drive wheels FL, FR, RL, RR×the driving efficiency η_(d)×the propulsion efficiency ηλ.

Taking the drive wheel FL in FIG. 23 as an example, using a motor efficiency map 2301 and the torque T1 distributed to the drive wheel FL, the driving efficiency η_(d)1 can be obtained based on the rotational speed ω1. Further, based on a torque-propulsion efficiency characteristic curve 2302, the propulsion efficiency ηλ1 can be obtained from the torque T1 distributed to the drive wheel FL. Similarly, concerning the other drive wheels FR, RL, RR, the respective driving efficiencies η_(d)2, η_(d)3, η_(d)4, and the propulsion efficiencies ηλ2, ηλ3, ηλ4 can be obtained.

The efficiency η total can be obtained by the following expression.

ηtotal=(T1/T)·η_(d)1·ηλ1+(T2/T)·η_(d)2·ηλ2+(T3/T)·η_(d)3·ηλ3+(T4/T)·η_(d)4·ηλ4  (26)

By detecting or estimating the normal force of the drive wheels FL, FR, RL, RR and performing torque distribution according to the normal force such that the value of expression (26) is maximized, the propulsion efficiency can be improved.

FIG. 24 is a block diagram depicting a functional configuration of the torque distribution apparatus according to the second example. Components identical to those depicted in FIG. 1 are given the same reference numerals used in FIG. 1. The distributing unit 107 receives input of the normal force Nfl, Nfr, Nrl, Nrr of the drive wheels FL, FR, RL, RR from the sensors 308 a to 308 d (refer to FIG. 3), and based on the normal force of each drive wheel, the distributing unit 107 increases the torque distribution ratio of a drive wheel for which the normal force N (load) is large, and decreases the torque distribution ratio of a drive wheel for which the normal force N(load) is small.

(Calculation Example of Overall Efficiency)

FIGS. 25A and 25B are diagrams depicting calculation examples of overall efficiency. In each, the weight of the vehicle 300 is 1600 [kg]; the instructed torque T is 800 [Nm]; the load balance moves towards the rear consequent to the climbing of a hill or acceleration; the load of each front wheel is 300 [kg]; and the load of each rear wheel is 500 [kg].

In the example depicted in FIG. 25A, the torque distribution of the drive wheels is 200 [Nm] and 4-wheel drive is assumed. Using a motor efficiency map 2501, based on the torque Td=200 [Nm] distributed to the front wheels FL, FR and the rotational speed ω=80 [rad/s], the driving efficiency η_(d)=0.82 is obtained. Further, based on torque-propulsion efficiency characteristics 2502, the propulsion efficiency ηλ=0.976 is obtained from the torque Td=200 [Nm] of the drive wheel FL. Similarly concerning the rear wheels RL, RR, the driving efficiency η_(d)=0.82 and the propulsion efficiency ηλ=0.986 are obtained. This result, the total efficiency ηtotal, is ηtotal=((200/800)·0.82·0.976)·2+((200/800)·0.82·0.986)·2=0.80442, based on expression (26).

In the example depicted in FIG. 25B, torque distribution of the rear wheels is 400 [Nm] and 2-wheel drive is assumed. Using the motor efficiency map 2501, the driving efficiency η_(d)=0.69 is obtained based on the torque Td=0 [Nm] distributed to the front wheels FL, FR and the rotational speed ω=80 [rad/s]. Further, based on the torque-propulsion efficiency characteristics 2502, the propulsion efficiency ηλ=1 is obtained from the torque Td=400 [Nm] distributed to the drive wheel FL. Similarly, concerning the rear wheels RL, RR, the driving efficiency η_(d)=0.93 and the propulsion efficiency ηλ=0.971 are obtained. This result, the total efficiency ηtotal, is ηtotal=((0/800)·0.69·1)·2+((400/800)·0.93·0.971)·2=0.90303, based on expression (26).

Without limitation to the calculation examples above, if the normal force against the drive wheels differs, the driving efficiency and the propulsion efficiency can be calculated for each drive wheel and therefore, based on the driving efficiencies and propulsion efficiencies, the overall efficiency can be calculated. Compared to selecting a combination for which the torque distribution algorithm of the first example has the optimum drive system efficiency, a combination for which the torque distribution algorithm of the second example has the optimum overall efficiency is selected.

According to the second example described above, similar to the first example, by drawing on motor efficiency map, a sloped performance curve that considers slip rate, the operating point of the rotational speed and the torque can be accurately detected. Thus, the calculation of efficiency by torque distribution can be performed more accurately. Further, optimal torque distribution with respect to the drive wheels can be performed. In addition, in the second example, since the normal force (load) at the drive wheels is considered, the efficiency of the propulsion system can be detected accurately, and the overall efficiency can be improved. Further, optimal torque distribution that improves overall efficiency with respect to the drive wheels can be performed. Similar to the first example, when the vehicle travels with torque values that differ for the total torque of the left-side drive wheels and the total torque of the right-side drive wheels, the angle of the steering wheel 30 and the angle of the vehicle from the yaw rate sensor 310 are detected and if it is judged that the difference thereof is great, it suffices to adjust the torque distribution amount such that the left-right torque difference decreases to establish propulsion stability.

The methods related to torque distribution described in the present embodiment may be implemented by executing a prepared program on a computer such as a personal computer and a workstation. The program is stored on a computer-readable recording medium such as a hard disk, a flexible disk, a CD-ROM, an MO, and a DVD, read out from the computer-readable medium, and executed by the computer. The program may be distributed through a network such as the Internet.

EXPLANATIONS OF LETTERS OR NUMERALS

-   -   100, 400 torque distribution apparatus     -   101 instructed torque acquiring unit     -   102 a vehicular speed detecting unit     -   102 b drive wheel speed detecting unit     -   103 slip rate calculating unit     -   104 motor efficiency map     -   105 efficiency map acquiring unit     -   106 calculating unit     -   107 distributing unit     -   108 control unit     -   300 vehicle     -   301 controller     -   307 a to 307 d (rotational speed) sensor     -   308 a to 308 d (normal force) sensor     -   309 acceleration sensor     -   310 yaw rate sensor     -   312 battery     -   FL, FR, RL, RR drive wheel     -   M (M1 to M4) motor     -   INV inverter 

1-9. (canceled)
 10. A torque distribution apparatus distributes an input instructed torque to motors connected to drive wheels, the torque distribution apparatus comprising: an instructed torque acquiring unit that acquires the instructed torque input; an efficiency map acquiring unit that acquires a motor efficiency map that corresponds to the motors; a vehicular speed detecting unit that detects vehicular speed of a vehicle equipped with the motors; a drive wheel rotational speed detecting unit that detects drive wheel rotational speed of the drive wheels; a slip rate calculating unit that based on the vehicular speed and the drive wheel rotational speed, calculates a relational expression of a slip rate at the drive wheels and a friction coefficient; a calculating unit that based on the relational expression of the slip rate and the friction coefficient, creates a performance curve expression that indicates relations between torque and the drive wheel rotational speed that includes the slip rate, superimposes the performance curve expression on the motor efficiency map, creates an efficiency variation expression that indicates for each vehicular speed, the torque and efficiency values of the motor efficiency map, and calculates a torque that optimizes efficiency, from the efficiency variation expression on the performance curve; a distributing unit that based on the instructed torque and the torque optimizing efficiency, calculates a torque distribution value for each of the motors; and a control unit that within a range of the slip rate being 0 to 0.2 and based on the calculated torque distribution values, controls torque distribution to each of the motors.
 11. The torque distribution apparatus according to claim 10, wherein the motors are each an in-wheel motor connected to the drive wheels, and the control unit controls the torque distribution to each of the in-wheel motors.
 12. The torque distribution apparatus according to claim 10, wherein the motor efficiency map is an efficiency map that includes inverters connected to the motors.
 13. A torque distribution method of distributing by a torque distribution apparatus, an input instructed torque to motors connected to drive wheels, the torque distribution method comprising: acquiring the instructed torque input; acquiring a motor efficiency map that corresponds to the motors; detecting vehicular speed of a vehicle equipped with the motors; detecting drive wheel rotational speed of the drive wheels; calculating based on the vehicular speed and the drive wheel rotational speed, a relational expression of a slip rate at the drive wheels and a friction coefficient; creating based on the relational expression of the slip rate and the friction coefficient, a performance curve expression that indicates relations between torque and the drive wheel rotational speed that includes the slip rate, superimposing the performance curve expression on the motor efficiency map, creating an efficiency variation expression that indicates for each vehicular speed, the torque and efficiency values of the motor efficiency map, and calculating a torque that optimizes efficiency, from the efficiency variation expression on the performance curve; calculating based on the instructed torque and the torque optimizing efficiency, a torque distribution value for each of the motors; and controlling within a range of the slip rate being 0 to 0.2 and based on the calculated torque distribution values, torque distribution to each of the motors.
 14. A torque distribution value generation method of generating by a torque distribution value generating apparatus, a torque distribution value for distributing an input instructed torque among motors connected to drive wheels, the torque distribution value generation method comprising: acquiring the instructed torque input; acquiring a motor efficiency map that corresponds to the motors; detecting vehicular speed of a vehicle equipped with the motors; detecting drive wheel rotational speed of the drive wheels; calculating based on the vehicular speed and the drive wheel rotational speed, a relational expression of a slip rate at the drive wheels and a friction coefficient; creating based on the relational expression of the slip rate and the friction coefficient, a performance curve expression that indicates relations between torque and the drive wheel rotational speed that includes the slip rate, superimposing the performance curve expression on the motor efficiency map, creating an efficiency variation expression that indicates for each vehicular speed, the torque and efficiency values of the motor efficiency map, and calculating a torque that optimizes efficiency, from the efficiency variation expression on the performance curve; and obtaining within a range of the slip rate being 0 to 0.2 and based on all the instructed torque and the torque that optimizes efficiency, each torque distribution value corresponding to the instructed torque and wheel speed.
 15. A computer-readable recording medium storing a program causing a computer to execute the torque distribution method according to claim
 13. 16. A computer-readable recording medium storing a program causing a computer to execute the torque distribution value generation method according to claim
 14. 